Math, asked by palakbaliyan16, 7 months ago

prove trigonometric identity. tan theta+1/tan theta=sec theta× cosec theta​

Answers

Answered by 123456789ritka
0

Answer:

Now,

secθ+1

tanθ

​  

+  

cosecθ+1

cotθ

​  

 

=  

sec  

2

θ−1

tanθ(secθ−1)

​  

+  

cosec  

2

θ−1

cotθ(cosecθ−1)

​  

 

=  

tanθ

(secθ−1)

​  

+  

cotθ

(cosecθ−1)

​  

 

=cosecθ−cotθ+secθ−tanθ

=cosecθ+secθ−tanθ−cotθ

=cosecθ+secθ−(  

cotθ

cot  

2

θ+1

​  

)

=cosecθ+secθ−(  

cotθ

cosec  

2

θ

​  

)

=cosecθ+secθ−cosecθ.secθ

Step-by-step explanation:

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